dorsal/arxiv
View SchemaQuantum Structures: An Attempt to Explain the Origin of their Appearance in Nature
| Authors | Diederik Aerts |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111071 |
| URL | https://arxiv.org/abs/quant-ph/0111071 |
| DOI | 10.1007/BF00676227 |
| Journal | International Journal of Theoretical Physics, 34, 1165, 1995 |
Abstract
We explain the quantum structure as due to the presence of two effects, (a) a real change of state of the entity under influence of the measurement and, (b) a lack of knowledge about a deeper deterministic reality of the measurement process. We present a quantum machine, where we can illustrate in a simple way how the quantum structure arises as a consequence of the two mentioned effects. We introduce a parameter epsilon that measures the size of the lack of knowledge on the measurement process, and by varying this parameter, we describe a continuous evolution from a quantum structure (maximal lack of knowledge) to a classical structure (zero lack of knowledge). We show that for intermediate values of epsilon we find a new type of structure, that is neither quantum nor classical. We apply the model that we have introduced to situations of lack of knowledge about the measurement process appearing in other regions of reality. More specifically we investigate the quantum-like structures that appear in the situation of psychological decision processes, where the subject is influenced during the testing, and forms some of his opinions during the testing process. Our conclusion is that in the light of this explanation, the quantum probabilities are epistemic and not ontological, which means that quantum mechanics is compatible with a determinism of the whole.
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"abstract": "We explain the quantum structure as due to the presence of two effects, (a) a\nreal change of state of the entity under influence of the measurement and, (b)\na lack of knowledge about a deeper deterministic reality of the measurement\nprocess. We present a quantum machine, where we can illustrate in a simple way\nhow the quantum structure arises as a consequence of the two mentioned effects.\nWe introduce a parameter epsilon that measures the size of the lack of\nknowledge on the measurement process, and by varying this parameter, we\ndescribe a continuous evolution from a quantum structure (maximal lack of\nknowledge) to a classical structure (zero lack of knowledge). We show that for\nintermediate values of epsilon we find a new type of structure, that is neither\nquantum nor classical. We apply the model that we have introduced to situations\nof lack of knowledge about the measurement process appearing in other regions\nof reality. More specifically we investigate the quantum-like structures that\nappear in the situation of psychological decision processes, where the subject\nis influenced during the testing, and forms some of his opinions during the\ntesting process. Our conclusion is that in the light of this explanation, the\nquantum probabilities are epistemic and not ontological, which means that\nquantum mechanics is compatible with a determinism of the whole.",
"arxiv_id": "quant-ph/0111071",
"authors": [
"Diederik Aerts"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/BF00676227",
"journal_ref": "International Journal of Theoretical Physics, 34, 1165, 1995",
"title": "Quantum Structures: An Attempt to Explain the Origin of their Appearance in Nature",
"url": "https://arxiv.org/abs/quant-ph/0111071"
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